`" If "cos theta=(-7)/(25)" and ",theta in((5 pi)/(2),3 pi)" then "sin(theta/2) =(-4)/(5), cos(theta/2)=(3)/(5),sin(theta/2)=(-3)/(5), cos(theta/2)=(-4)/(5)`

If sin theta=(3)/(5) and 0

If cos theta=(-3)/(5),theta in(pi,(3 pi)/(2)), then the value of ((1+sin theta)/(tan theta)+cos2 theta) is

If sin((theta)/(2))=a,cos((theta)/(2))=b then (1+sin theta)/(3sin theta+4cos theta+5)=

int_(pi//4) ^(pi//2) (cos theta)/((cos (theta/2) + sin (theta/2))^(3))d theta=

The value of the determinant |sin theta,cos theta,sin2 thetasin(theta+(2 pi)/(3)),cos(theta+(2 pi)/(3)),sin(2 theta+(4 pi)/(3))sin(theta-(2 pi)/(3)),cos(theta-(2 pi)/(3)),sin(2 theta-(4 pi)/(3))

if cos theta=(3)/(5) and theta is not in the first quadrant then (5tan(pi+theta)+4cos(pi+theta))/(5sec(2 pi-theta)-4cot(2 pi+theta))=

int(sin12 theta-sin9 theta)/(2cos7 theta-1)*d theta" is equal to" (1) (cos2 theta)/(2)+(cos5 theta)/(5)+c ( 2) (cos5 theta)/(2)-(cos2 theta)/(5)+c (3) (cos2 theta)/(5)-(cos5 theta)/(2)+c (4) (cos2 theta)/(2)-(cos5 theta)/(5)+c

Prove that sin theta+sin2 theta+sin4 theta+sin5 theta=4cos((theta)/(2))cos((3 theta)/(2))sin3 theta

If 5 tan theta = 4 , show that ( 5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta) = (1)/(7)